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Finding the Fourth Proportional to 24,705.80, 37,064.60 and 8,065.87

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Solution

The fourth proportional to 24,705.80, 37,064.60 and 8,065.87 is: 12,100.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,705.80 : 37,064.60 = 8,065.87 : x
  2. Step 2: Convert to fraction form
    24,705.80/37,064.60 = 8,065.87/x
  3. Step 3: Cross multiply
    24,705.80x = 37,064.60 × 8,065.87
  4. Step 4: Simplify right side
    24,705.80x = 298,958,245.20
  5. Step 5: Solve for x
    x = 298,958,245.20/24,705.80
  6. Step 6: Final answer
    x = 12,100.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.